32768

32768 is a decimal integer that equals 2^15. In binary it is 1 followed by fifteen zeros; in hexadecimal it is 0x8000. It is a power of two and an even number. The number is notable in computing because it lies just beyond the largest value representable by a 15-bit unsigned integer (32767), and it is a common boundary in 16-bit systems. It also corresponds to 32 KiB when expressed as bytes, since 32768 bytes equals 32 kilobytes.

In practical electronics, 32768 is well known as a standard clock frequency: a quartz crystal at 32.768 kHz is widely used for real-time clocks and timers because its frequency is a power of two and divides neatly down to 1 Hz with a simple divider.

In digital audio, 16-bit PCM often uses signed samples in the range -32768 to 32767; in unsigned PCM, mid-scale zero is represented as 32768, making 32768 a convenient offset value in some formats.

In two's complement 16-bit representation, the bit pattern 0x8000 corresponds to -32768, illustrating how the same binary pattern can represent different integers depending on interpretation.

32768 thus appears across computing and electronics as a fundamental boundary, a convenient power-of-two value, and a practical reference in data representation and timing systems.